A new auxiliary function method for solving the generalized coupled Hirota-Satsuma KdV system
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Publication:929444
DOI10.1016/j.amc.2007.11.007zbMath1143.65081OpenAlexW1966705870MaRDI QIDQ929444
Publication date: 17 June 2008
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2007.11.007
KdV equations (Korteweg-de Vries equations) (35Q53) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
Related Items
The extended \(\left( \frac {G^{\prime}}{G}\right)\)-expansion method and its applications to the Whitham-Broer-Kaup-like equations and coupled Hirota-Satsuma KdV equations, New Jacobi elliptic function-like solutions for the general KdV equation with variable coefficients, On Weierstrass elliptic function solutions for a \((N+1)\) dimensional potential KdV equation, New exact Jacobi elliptic functions solutions for the generalized coupled Hirota-Satsuma KdV system
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Cites Work
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- RATH: A Maple package for finding travelling solitary wave solutions to nonlinear evolution equations
- An elliptic equation method and its applications in nonlinear evolution equations
- An automated \(\tanh\)-function method for finding solitary wave solutions to nonlinear evolution equations
- Exact solitary wave solutions of coupled nonlinear evolution equations using MACSYMA
- A series of travelling wave solutions for two variant Boussinesq equations in shallow water waves
- New transformations and new approach to find exact solutions to nonlinear equations
- Construction of new soliton-like solutions for the \((2+1)\) dimensional Kadomtsev-Petviashvili equation
- Symbolic computation in nonlinear evolution equation: application to \((3+1)\)-dimensional Kadomtsev-Petviashvili equation
- Auxiliary equation method for solving nonlinear partial differential equations
- Construction of new soliton-like solutions of the (2 + 1) dimensional dispersive long wave equation
- Construction of new soliton-like solutions for the (2 + 1) dimensional KdV equation with variable coefficients
- A simple transformation for nonlinear waves.
- The extended Fan's sub-equation method and its application to KdV-MKdV, BKK and variant Boussinesq equations
- Explicit and exact solutions to a Kolmogorov-Petrovskii-Piskunov equation
- Extended tanh-function method and its applications to nonlinear equations
- Wave Propagation in Nonlinear Lattice. I
- Multiple travelling wave solutions of nonlinear evolution equations using a unified algebraic method
- Symmetry-based algorithms to relate partial differential equations: II. Linearization by nonlocal symmetries